On pⁿBext projective abelian p-groups | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2017. № 46. DOI: 10.17223/19988621/46/3

On pⁿBext projective abelian p-groups

We introduce the concept of pⁿBext projective abelian p-groups and show that they form a class which properly contains the class of all и-balanced projective p-groups. This somewhat enlarges a result due to Keef-Danchev in Houston J. Math. (2012).

Download file

Counter downloads: 252

Keywords

pⁿBext проективность, n-сбалансированная проективность, pⁿBext projectives, сбалансированная проективность, n-balancedprojectives, balancedprojectives

Authors

Name	Organization	E-mail
Danchev Peter V.	Plovdiv State University	pvdanchev@yahoo.com

Всего: 1

References

Fuchs L. (2015) Abelian Groups. Switzerland: Springer.

Hill P. (1968) A summable Cn-group. Proc. Amer. Math. Soc. 23. pp. 428-430.

Richman F. and Walker E. (1979) Valuated groups. J. Algebra. 56. pp. 145-167.

Keef P. and Danchev P. (2012) On properties of n-totally projective abelian p-groups. Ukrain. Math. J. 64. pp. 875-880.

Keef P.W. and Danchev P.V. (2012) On n-simply presented primary abelian groups. Houston J. Math. 38. pp. 1027-1050.

Danchev P.V. and Keef P.W. (2010) n-Summable valuated pn-socles and primary abelian groups. Commun. Algebra. 38. pp. 3137-3153.

Danchev P.V. (2012) Valuated pn-socles and C^ n-summable abelian p-groups. Pioneer J. Math. and Math. Sci. 6. pp. 233-249.